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Inertial migration of a deformable particle in pipe flow

Dhiya Alghalibi1,2, Marco E. Rosti1,*, and Luca Brandt1

  • 1Linné Flow Centre and SeRC (Swedish e-Science Research Centre), KTH Mechanics, S-100 44 Stockholm, Sweden
  • 2College of Engineering, University of Kufa, Al Najaf, Iraq

  • *Corresponding author: merosti@mech.kth.se
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Phys. Rev. Fluids 4, 104201 – Published 10 October, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.104201

Abstract

We perform fully Eulerian numerical simulations of an initially spherical hyperelastic particle suspended in a Newtonian pressure-driven flow in a cylindrical straight pipe. We study the full particle migration and deformation for different Reynolds numbers and for various levels of particle elasticity, to disentangle the interplay of inertia and elasticity on the particle focusing. We observe that the particle deforms and undergoes a lateral displacement while traveling downstream through the pipe, finally focusing at the pipe centerline. We note that the migration dynamics and the final equilibrium position are almost independent of the Reynolds number, while they strongly depend on the particle elasticity; in particular, the migration is faster as the elasticity increases (i.e., the particle is more deformable), with the particle reaching the final equilibrium position at the centerline in shorter times. Our simulations show that the results are not affected by the particle initial conditions, position, and velocity. Finally, we explain the particle migration by computing the total force acting on the particle and its different components, viscous and elastic.

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Phys. Rev. Fluids 4, 104201– Published 10 October, 2019
  • Received 5 February 2019
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